More Complicated Exponents and Scientific Notation.notebook
December 02, 2015
More Complicated Exponent Problems
and
Scientific Notation
At the end of this lesson I will be able to:
simplify complicated exponential expressions
multiply, divide, and raise to powers numbers that are
written in standard form
4x-2y4
8xy6
(2x)-2y5
-4x2y2
More Complicated Exponents and Scientific Notation.notebook
(3x2y5z-2)-3
(5xz5)-3
December 02, 2015
(-3x½)(5w8)(4x¼)
How can we tell that an expression is completely simplified?
there should be only positive exponents
integers should be simplified,
if possible.
We should have only one of
each type of variable.
More Complicated Exponents and Scientific Notation.notebook
December 02, 2015
Scientific Notation Basics
Reading Scientific Notation:
Numbers with positive exponents are 'big'
Numbers with negative exponents are 'small'
Write the number in decimal form.
6.4x10-4
8.92x103
Write the number in scientific notation.
602,000,000
0.0000345
To multiply in scientific notation:
1) multiply the first numbers
2) add the exponents on the 10
3) reformat if needed
(2.5x104)(5.8x102)
(5.7x108)(3.21x102)
More Complicated Exponents and Scientific Notation.notebook
December 02, 2015
Dividing Numbers In Scientific Notation:
1) divide front numbers
2) subtract exponents on 10
3) reformat if needed
Divide.
(1.82x10-1)÷(1.4x10-3)
Numbers In Scientific Notation To a Power:
1) raise front number to the power
2) multiply the exponent on the 10 and the
power
3) reformat if needed
(1.2x103)4
(3.12x104)2
More Complicated Exponents and Scientific Notation.notebook
December 02, 2015
Assignment
Page 475
Problems 13­16, 28, 29, 38­41, 44­47